97782080 has 56 divisors (see below), whose sum is σ = 254020320. Its totient is φ = 35555840.

The previous prime is 97782077. The next prime is 97782101. The reversal of 97782080 is 8028779.

It is a super-2 number, since 2×97782080² = 19122670338252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10370 + ... + 17409.

Almost surely, 2^97782080 is an apocalyptic number.

It is an amenable number.

97782080 is an abundant number, since it is smaller than the sum of its proper divisors (156238240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97782080 is a wasteful number, since it uses less digits than its factorization.

97782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27807 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 97782080 is about 9888.4821888903. The cubic root of 97782080 is about 460.7016387599.

The spelling of 97782080 in words is "ninety-seven million, seven hundred eighty-two thousand, eighty".